Answer:
36
Step-by-step explanation:
Let's let n be any number.
If we multiply n by 2, we get 2n. Since anything multiplied by 2 is even, 2n must be even. Therefore, let 2n be our first number.
So, the consecutive even number will be (2n+2) followed by (2n+4).
We know that their sum must be 114. Therefore, we can write the following equation:
[tex](2n)+(2n+2)+(2n+4)=114[/tex]
Solve for n. Combine like terms on the left:
[tex]6n+6=114[/tex]
Subtract 6 from both sides:
[tex]6n=108[/tex]
Finally, divide both sides by 6. Therefore, the value of n is:
[tex]n=108/6=18[/tex]
Therefore, our first even number is 2n or 2(18) which equates to 36.
And the consecutive even numbers will be 38 and 40.
So, the smallest of them, the first term, is 36.
Let the three consecutive even numbers be x, x + 2 and x + 4 .
[tex] \longrightarrow \rm x + x + 2 + x + 4 = 114[/tex]
[tex] \longrightarrow \rm 3x + 6 = 114[/tex]
[tex] \longrightarrow \rm 3x = 108[/tex]
[tex] \longrightarrow \bf x = 36[/tex]
Smallest number = 36
Suppose you had two circular objects. Let the first circular object have a diameter of 26 cm and let second circular object have a diameter that is half as long as the diameter of the first. What would the circumference be for the second item in centimeters?
Answer:
40.82cm
Step-by-step explanation:
half of 26 is 13
the second's circle diameter is 13
the formula for circumference is C = 2πr
where r is the radius and π is 3.14
diameter =2r
13 = 2r
r = 6.5
2 x 6.5 x 3.14 = 40.82
40.82 cm
15-7m=-5-2m solve the equation
i need help with geometry
Answer:
5
Step-by-step explanation:
what is the graph of y= -4x -1?
Answer:
The y-intercept is -1
The slope is -4 so you will go down 4 and over 1 to the right.
The line is negative
So it will be pointing Northwest and Southeast \ that way.
Step-by-step explanation:
Did you understand this??
Plz help me with number 1
What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form
Answer:
[tex]\frac{5}{12}[/tex]m²
Step-by-step explanation:
Given parameters:
Base = [tex]\frac{5}{3}[/tex]m
Height = [tex]\frac{1}{2}[/tex]m
Unknown:
Area of the triangle = ?
Solution:
The area of a traingle is given as:
Area = [tex]\frac{1}{2}[/tex] x base x height
Insert parameters and solve;
Area = [tex]\frac{1}{2}[/tex] x [tex]\frac{5}{3}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{12}[/tex]m²
Answer:
Step-by-step explanation:
5/10
simplify this surd expression
Answer:
4√6
Step-by-step explanation:
What is the value of x?
Answer:
x = 32
Step-by-step explanation:
Each angle of the equilateral triangle is 60°.
(2x -4)° = 60°
x -2 = 30 . . . . . . divide by 2°
x = 32
__
5y° = 60°
y = 12 . . . . . . . . . divide by 5°
Approximate √60 to the nearest tenth with step by step directions please! And thanks!
Answer:
7.7 is the answer
Step-by-step explanation:
(credit to manics.info)
Step 1:
Calculate the square root of 60 to be:
√60 = 7.74596669241483
Step 2:
Reduce the tail of the answer above to two numbers after the decimal point:
7.74
Step 3:
Round 7.74 so you only have one digit after the decimal point to get the answer:
7.7
To check that the answer is correct, use your calculator to confirm that 7.72 is about 60.
Hope this help and have a great day!
Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
How long will it take for his investment to reach USD 25 000?
Given :
A = 25000
P = 20000
r % = 9.6 % = 0.096
n = 12
To Find :
The time taken say t.
Solution :
We know, compound interest is given by :
[tex]A=P(1+\dfrac{r}{n})^{n.t}[/tex]
Taking log both sides :
[tex]A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years[/tex]
Hence, this is the required solution.
Jacob has unlocked 6 less than
twice as many game levels as
Shannon. If Jacob has unlocked 14
levels, how many levels has
Shannon unlocked?
Answer:
Shannon has unlocked 40 levels.
Step-by-step explanation:
14 + 6 = 20
20 * 2 = 40
What is the result when x^3+2x^2– 11x + 8 is divided by x - 1?
Answer:
result is x^2+3x-8 sorry for the photo quality
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant’s height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant?
s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37
Answer:
f(h) = 0.004s + 37
Step-by-step explanation:
The correct representation of the height of the plant is;
f(h) = 0.004s + 37
Given parameters;
Height of plant = 37cm
Rate of growth = 0.004cm/hr
Number of hours of sunlight = s
To solve this problem, the height of the plant is directly dependent on the amount of sunlight;
f(h) signifies that height is a function
The height of the plant is 37cm;
f(h) = 37
The plant grows at a rate of 0.004cm/hr; number of hours of sunlight is s;
0.004s
Therefore;
f(h) = 37 + 0.004s
Answer:
f(s)=0.004s+37
Step-by-step explanation:
R
$
Landon invests $3000 into stocks. The
account has a rate of 10% and is com-
pounded annually. How much money is
in the account after 5 years? How much
interest did he earn?
what is x5/3x + 1/3x=10+7/3x
Answer:
x=6/25 or decimal = x=-0.24
Step-by-step explanation:
Please answer this, i really need it its my last question
Answer:
y=-4 to 4
x=-1 to -7
Step-by-step explanation:
Given: 9-4x = -19
Prove: x = 7
Answer:
Easy
Step-by-step explanation:
-19-9=-28
-28/-4=7
thus x=7
Please help me!, 40 points!
Answer:
what is the question
Step-by-step explanation:
Answer:
What is the question?
Step-by-step explanation:
3x + 5y + z = 2
x + 2y + 3z = 6
2x + 4y + 2z = 9
I need help asap please
Answer:
its correct
Step-by-step explanation:
Answer:
I can help
Step-by-step explanation:
but i don't see the rest of the question lol
What’s the answer please help
Answer:
The correct answer is a.
I need the answer to this question for my math homework
−3 = x −11
Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
-3 = x - 11
Step 2: Solve for x
Add 11 to both sides: 8 = xRewrite x = 8Step 3: Check
Plug in x to verify it's a solution.
-3 = 8 - 11
-3 = -3
Answer:
X = 8
Step-by-step explanation:
8-11= -3. I think the easiest way to solve this if you are new to negative numbers is to use a number line.
Good luck!
3.5 in/year=cm/day
help
Answer:
.024 cm/day
Step-by-step explanation:
Solve using the standard algorithm.
a. 0.3 + 0.82 = ____________
b. 1.03 + 0.08 = ___________
Answer:
A= 1.12
B= 1.11
Step-by-step explanation:
A. 0.82 B. 1.03
+ 0.3 + 0.08
______ _______
1.12 1.11
You and your sister help your neighbor rake their lawn. Your sister can rake at a rate of 2
square meters per minute, and you can rake at a rate of 4 square meters per minute. You
start at the same time. After how many minutes will you rake 8 square meters more than
Your sister?
Answer:
4 minutes
Step-by-step explanation:
Min. Sister. You
1. 2. 4
2. 4. 8
3. 6. 12
4. 8. 16
Movers Company manufactures sneakers. The production of their new sneaker for the coming three months is budgeted as follows: August 30,000 September 50,000 October 35,000 Each sneaker requires 2 hours of direct labor time. Direct labor wages average $15 per hour. Monthly overhead averages $10 per direct labor hour plus fixed overhead of $4,500. What is the direct labor cost budgeted for September?
Answer:
Direct labor cost= $1,500,000
Step-by-step explanation:
Giving the following information:
Production:
September 50,000
Each sneaker requires 2 hours of direct labor time.
Direct labor wages average $15 per hour.
First, we need to calculate the number of direct labor hours required:
Direct labor hours= 50,000*2= 100,000 hours
Now, the direct labor cost:
Direct labor cost= 100,000*15= $1,500,000
Please help !!!
The seventh-graders at the middle school are going on a field trip to Hurricane Harbor. They will spend 6 1/2 hours at the water park. The students will need to ride 5 different water slides while they are there. If the time is evenly distributed, how many minutes will the students spend at each water slide?
Answer:
exabit for about 51 min
Step-by-step explanation:
COMMET IF I BE WRONG
Answer:
6 1/2×60=390 390÷5=78
Step-by-step explanation:
They will have an hour and 18 minutes per each water ride.
Please help!!!!!!!!!
Answer:
bottom one
Step-by-step explanation:
What is the following equation in standard form? y= - 1/6x + 5
Answer:
x+6y=30
Step-by-step explanation:
George is in a book club. He earns 6 points for every 9 books he reads, and he needs to earn 24 points to receive a free book. How many points does he earn per book?
Answer:
36 books
Step-by-step explanation:
9=6
6*4=24 (9*4=36)